共查询到20条相似文献,搜索用时 31 毫秒
1.
Edward M. Bolger 《International Journal of Game Theory》2000,29(1):93-99
In Bolger [1993], an efficient value was obtained for a class of games called games with n players and r alternatives. In these games, each of the n players must choose one and only one of the r alternatives. This value can be used to determine a player’s “a priori” value in such a game. In this paper, we show that
the value has a consistency property similar to the “consistency” for TU games in Hart/Mas-Colell [1989] and we present a
set of axioms (including consistency) which characterizes this value.
The games considered in this paper differ from the multi-choice games considered by Hsiao and Raghavan [1993]. They consider
games in which the actions of the players are ordered in the sense that, if i >j, then action i carries more “weight” than action j.
These games also differ from partition function games in that the worth of a coalition depends not only on the partitioning
of the players but also on the action chosen by each subset of the partition.
Received: April 1994/final version: June 1999 相似文献
2.
Steiner’s “combinatorial problems” have so far been solved only fork=3 [5, 3] and fork=4 [1,2]. In this paper a complete solution of the problem is given for “closed” Steiner systems, i.e. systems havingn=2
k−1−1 elements. Use is made of methods developed by Zaremba [7] for abelian groups.
This research was supported by the United States Air Force under Grant No. AF-EOAR-6360 and monitored by the European Office
of Aerospace Research. 相似文献
3.
Alessandra Celletti Luigi Chierchia 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,57(1):33-41
A new (iso-energetic) KAM method is tested on a specific three-body problem “extracted” from the Solar system (Sun-Jupiter
+ asteroid 12 Victoria). Analytical results in agreement with the observed data are established. This paper is a concise presentation
of [2].
Supported by the MIUR projects: “Dynamical Systems: Classical, Quantum, Stochastic” and “Variational Methods and Nonlinear
Differential Equations”
Received: February 3, 2004 相似文献
4.
5.
Sven Winklmann 《Calculus of Variations and Partial Differential Equations》2003,16(4):439-447
We define a generalized notion of mean curvature for regular hypersurfaces in . This enables us to introduce a new class of geometric curvature flows for which we prove enclosure theorems, using methods
of Dierkes [D] and Hildebrandt [H]. In particular, we obtain “neck-pinching” results that generalize previous observations
by Ecker [E] concerning the classical mean curvature flow.
Received: 8 October 2001 / Accepted: 1 March 2002 / Published online: 23 May 2002 相似文献
6.
Xingwei Hu 《International Journal of Game Theory》2006,34(2):229-240
This paper extends the traditional “pivoting” and “swing” schemes in the Shapley–Shubik (S-S) power index and the Banzhaf index to the case of “blocking”. Voters are divided into two groups: those who vote for the bill and those against the bill. The uncertainty of the division is described by a probability distribution. We derive the S-S power index, based on a priori ignorance about the random bipartition. 相似文献
7.
The “Projective Rank” of a compact connected irreducible Hermitian symmetric space M has been defined as the maximal complex dimension of the compact totally geodesic complex submanifolds having positive holomorphic bisectional curvature with the induced K?hler metric. We present a geometric way to compute this
invariant for the space M based on ideas developed in [1], [13] and [14]. As a consequence we obtain the following inequality relating the Projective Rank,
the usual rank, and the 2-number (which is known to be equal to the Euler-Poincare characteristic in these spaces).
Received: 6 June 2000 / Revised version: 6 August 2001 / Published online: 4 April 2002 相似文献
8.
J.-L. Waldspurger 《Mathematische Annalen》2009,343(1):103-174
In order to use the trace formula of Arthur–Selberg in the twisted case, we need to prove the “twisted weighted fundamental
lemma”, that is a sophisticated version of the fundamental lemma. Here, we prove that this twisted weighted fundamental lemma
follows from two others lemmas, where the torsion has disappeared: the weighted fundamental lemma for Lie algebras and a “non-standard
weighted fundamental lemma”, concerning Lie algebras too. 相似文献
9.
C. T. C. Wall 《manuscripta mathematica》1999,100(2):131-157
Singularities of functions of modality 1 or 2 were classified by Arnold [3]. Types of those of modality 3 were listed in [14].
Here we show that these are all Newton non-degenerate in the extended sense introduced in [17], and use this fact to obtain
explicit regular bases and precise normal forms for right and for contact equivalence. This requires care since the only existing
method for non-semiquasihomogeneous germs (using Arnold's “Condition A”) does not apply to all our cases.
Received: 8 February 1999 / Revised version: 28 May 1999 相似文献
10.
In molecular dynamics the highly oscillatory vibrations in the chemical bonds are often replaced by holonomic constraints
that freeze the bond length/angle to its equilibrium value. In some cases this approach can be justified if the force constants
of the bond vibrations are sufficiently large. However, for moderate values of the force constant, the constrained system
might lead to a dynamical behavior that is too “rigid” compared to the flexible model. To compensate for this effect, the
concept of soft constraints was introduced in [7,12,13]. However, its implementation is rather expensive. In this paper, we
suggest an alternative approach that modifies the force field instead of the constraint functions. This leads to a more efficient
method that avoids the resonance induced instabilities of multiple-time-stepping [5] and the above described effect of standard
constrained dynamics.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
11.
12.
V. F. Ignatenko 《Ukrainian Mathematical Journal》1998,50(5):726-740
A review of the current state of the diametral theory of algebraic hypersurfaces in the real Euclidean space is given.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 639–653, May, 1998.
The present paper is based on talks delivered by the author at the International Conference on Geometry “as a Whole” [1] and
the Second Crimean Mathematical School “Method of Lyapunov Functions and Its Applications” [2]. 相似文献
13.
In earlier papers Tyrtyshnikov [42] and the first author [14] considered the analysis of clustering properties of the spectra
of specific Toeplitz preconditioned matrices obtained by means of the best known matrix algebras. Here we generalize this
technique to a generic Banach algebra of matrices by devising general preconditioners related to “convergent” approximation
processes [36]. Finally, as case study, we focus our attention on the Tau preconditioning by showing how and why the best
matrix algebra preconditioners for symmetric Toeplitz systems can be constructed in this class.
Received April 25, 1997 / Revised version received March 13, 1998 相似文献
14.
J. -H. Evertse 《Journal of Mathematical Sciences》2010,171(6):824-837
In this survey, we give an overview of recent improvements to the quantitative subspace theorem, obtained jointly with R.
Ferretti, which follow from the work in [9]. Further, we give a new gap principle with which we can estimate the number of
subspaces containing the “small solutions” of the systems of inequalities under consideration. As an introduction, we start
with a quantitative version of Roth’s theorem. Bibliography: 28 titles. 相似文献
15.
K. S. Banerjee 《Annals of the Institute of Statistical Mathematics》1974,26(1):447-454
Summary Dey [3] has suggested a spring balance weighing design in preference to “repeated designs”, and later, Kulshreshtha and Dey
[5] have suggested yet one more weighing design which, they say, would be preferred to “repeated designs” and to those suggested
in [3], provided one is interested in estimating the weights of some of the objects with increased precision at the cost of
precision for others. It has been shown here that, while the above findings may be true in some situations, one might, in
a given problem, prefer “repeated designs” to those suggested in [3] and [5].
NSF Grant No. GP-28312 and GP-36562. 相似文献
16.
Ohne Zusammenfassung
Vorliegende Arbeit gibt eine einheitliche und systematische Darstellung von Resultaten der Verfasser, über die teils schon
in den Aufs?tzen [2], [7] (“Problem C”) und [8] (“Problem A”) berichtet wurde. 相似文献
17.
A. V. Kelarev 《Semigroup Forum》1991,43(1):291-298
It is well-known that semigroups of many important classes are decomposable into bands of their subsemigroups with more “rigid”
structure. For efficient applications of radicals to semigroups of that kind, an information on the shape of radicals in bands
of semigroups may be useful. Here we will investigate the Jacobson, Baer, Brown-McCoy and the least special radicals. The
results were announced in [3]. The interaction of bands and radicals was also considered in [4] for the class of semigroups
with zero; analogous problems for bands and radicals of associative rings were investigated in [5], [6] and [7]. 相似文献
18.
An integral test (Theorem 5) is established for the dichotomy concerning local extinction and survival (even persistence)
at late times for critical multitype spatially homogeneous branching particle systems in continuous time. Our conditions on
the branching mechanism are close to the ones known from “classical” processes without motion component. This generalizes
and complements results of López-Mimbela and Wakolbinger [LMW96] and others. Our approach is based on some genealogical tree
analysis combined with the study of the long-term behavior of L
1-norms of solutions of related systems of reaction-“diffusion” equations, which is perhaps also of some independent interest.
Received: 13 August 1997 / Revised version: 12 May 1998 / Published online: 14 February 2000 相似文献
19.
I. A. Dynnikov 《Functional Analysis and Its Applications》1999,33(4):260-269
In the present paper, we suggest a new combinatorial approach to knot theory based on embeddings of knots and links into a
union of three half-planes with the same boundary. The idea to embed knots into a “book” is quite natural and was considered
already in [1]. Among recent papers on embeddings of knots into a book with infinitely many pages, we mention [2] and [3]
(see also references therein).
The restriction of the number of pages to three (or any other number ≥3) provides a convenient way toencode links by words in a finite alphabet. For those words, we give a finite set of local changes that realizes the equivalence
of links by analogy with the Reidemeister moves for planar link diagrams.
This work is partially supported by Russian Foundation for Basic Research grant No. 99-01-00090.
Moscow State University. Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 33, No. 4, pp. 25–37, October–December,
1999.
Translated by I. A. Dynnikov 相似文献
20.
This paper presents solutions or partial solutions for several problems in the theory of relation algebras. In a simple relation
algebra an element x satisfying the condition (a) must be an atom of . It follows that x must also be an atom in every simple extension of . Andréka, Jónsson and Németi [1, Problem 4] (see [12, Problem P5]) asked whether the converse holds: if x is an atom in every simple extension of a simple relation algebra, must it satisfy (a)? We show that the answer is “no”.?
The only known examples of simple relation algebras without simple proper extensions are the algebras of all binary relations
on a finite set. Jónsson proposed finding all finite simple relation algebras without simple proper extensions [12, Problem
P6]. We show how to construct many new examples of finite simple relation algebras that have no simple proper extensions, thus
providing a partial answer for this second problem. These algebras are also integral and nonrepresentable.? Andréka, Jónsson,
Németi [1, Problem 2] (see [12, Problem P7]) asked whether there is a countable simple relation algebra that cannot be embedded in a one-generated relation algebra.
The answer is “yes”. Givant [3, Problem 9] asked whether there is some k such that every finitely generated simple relation algebra can be embedded in a k-generated simple relation algebra. The answer is “no”.
Received November 27, 1996; accepted in final form July 3, 1997. 相似文献